Least Common Multiple of 823/758, 191/819, 393/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/758, 191/819, 393/145 quickly i.e. 61776849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/758, 191/819, 393/145 is 61776849.

LCM(823/758, 191/819, 393/145) = 61776849

LCM of 823/758, 191/819, 393/145

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 823/758,191/819,393/145

Given numbers are 823/758,191/819,393/145

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 823,191,393

Least Common Multiple of Numerators i.e. LCM of 823,191,393 is 61776849.

GCF of Denominators means GCF of 758,819,145 as per the given fractions.

GCF of 758,819,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,191,393

LCM of Fractions 823/758,191/819,393/145 is 61776849

Given numbers has no common factors except 1. So, there LCM is their product i.e 61776849

Least Common Multiple of 823,191,393 with GCF Formula

Least Common Multiple of 823,191,393 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 823,191,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,191,393) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(823,191,393) x common factors =1 x 1 = 1

LCM(823,191,393) = ( 823 × 191 × 393 ) / 1

LCM(823,191,393) = 61776849 / 1

LCM(823,191,393) = 61776849


Lets's calculate GCF of 758,819,145

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61776849/1

Therefore the LCM of Fractions 823/758,191/819,393/145 is 61776849

Greatest Common Factor of 758,819,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,819,145 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 758,819,145 . The biggest common factor number is the GCF number.
So the greatest common factor 758,819,145 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 823/758, 191/819, 393/145

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 823/758, 191/819, 393/145?

Answer: LCM of Numerators as per given numbers 823/758, 191/819, 393/145 is

LCM of Numerators i.e. for 823,191,393 is 61776849

GCF of denominators i.e. for 758,819,145 is 1.

Thus, LCM of Fractions is 61776849.Finally, LCM of Fractions for 823/758, 191/819, 393/145 is 61776849.